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exis [7]
3 years ago
14

A central angle θ in a circle with a radius of 6.4 centimeters intercepts an arc with a length of 8 centimeters. What is the rad

ian measure of θ ? Enter your answer, as a decimal, in the box.
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0
Radius of the circle = r = 6.4 cm
Length of the arc = s = 8 cm
Measure of angle formed by the arc = <span>θ = ?

The radius of the circle, arc length and the angle made by the arc at the center of the circle are related by the equation:

s = r</span><span>θ

From here we can find </span><span>θ by:

</span><span>θ = s/r

Using the values, we get:

</span><span>θ = 8/6.4
</span><span>
θ</span><span>= 1.25 radians

Thus the radian measure of the angle </span>θ made by the arc will be 1.25 radians
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A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the
dedylja [7]
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
3x = 66
x = 22

That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!
7 0
4 years ago
Read 2 more answers
Solve for x:<br> 9x - 3 - 8x = 7 - x<br> x= -7<br> x=-2<br> x = 4<br> x = 5
ruslelena [56]

Answer:

x = 5

Step-by-step explanation:

Given

9x - 3 - 8x = 7 - x , that is

x - 3 = 7 - x ( add x to both sides )

2x - 3 = 7 ( add 3 to both sides )

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x = 5

7 0
3 years ago
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Find the next two terms of the following sequence: <br> 13, 4, -11, -32,...
arsen [322]
Hum, seems to subtract 9 then subtract 15 then subtract 21
the amount subtracted increases by 6 each time
so then we subtract 27 to get -59
then subtract 33 to get -92

the next two terms are -59 and -92
6 0
4 years ago
What is the solution of this equation?<br> -1y = -4
tigry1 [53]

Answer:

y = 4

Step-by-step explanation:

-1y = -4

Divide both sides by -1 to get y by itself.

-1/-1 = -4/-1

y = 4

It's positive because there are two negatives, which mean they cancel out.

8 0
4 years ago
A cylindrical tin full of engine oil had a diameter of 12cm and a height of 14cm the oil is poured into a rectangular tin 16cm l
jeyben [28]

Answer:

The depth of oil in the tin is 9cm

Step-by-step explanation:

The first thing we need to do here is to calculate the volume of the cylindrical tin.

Mathematically, that would be;

V = pi * r^2 * h

now, r = d/2 = 12/2 = 6cm

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Thus the volume would be;

V = 22/7 * 14 * 6^2 = 1,584 cm^3

Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.

Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x

So the depth x would be;

176x = 1584

x = 1584/176 = 9 cm

5 0
3 years ago
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